Hi there!
Let's solve your equation step-for-step:
I will try to make it as easy-looking as possible!
Before we go into the steps, though, make sure you rewrite the equation first.
\(\frac{10}{1} - \frac{5}{6} x = \frac{425}{100}\)
Now we simplify.
\(10 + \frac{-5}{6} x = \frac{17}{4}\)
Now, we subtract 10 from both sides.
\(\frac{-5}{6} x + 10 - 10 = \frac{17}{4} - 10\)
\(\frac{-5}{6} x = \frac{-23}{4}\)
Last step! Multiply both sides by \(\frac{6}{-5}\)
\(\frac{6}{-5} * \frac{-5}{6} x = \frac{6}{-5} * \frac{-23}{4}\)
\(x = \frac{69}{10}\)
FINAL ANSWER -
\(x = \frac{69}{10}\)
Hope this helped! :D